#698450 (Rust) No.1678 Coin Trade (Multiple)

提出ソース

結果

問題	No.1678 Coin Trade (Multiple)
ユーザー	koba-e964
提出日時	2021-09-10 22:51:04
言語	Rust (1.77.0 + proconio)
結果	AC
実行時間	1,812 ms / 5,000 ms
コード長	5,355 bytes
コンパイル時間	16,517 ms
コンパイル使用メモリ	377,468 KB
実行使用メモリ	27,276 KB
最終ジャッジ日時	2024-06-12 02:34:23
合計ジャッジ時間	43,304 ms
ジャッジサーバーID （参考情報）	judge1 / judge5

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 5,248 KB
testcase_01	AC	1 ms 5,248 KB
testcase_02	AC	1 ms 5,376 KB
testcase_03	AC	126 ms 13,584 KB
testcase_04	AC	844 ms 21,304 KB
testcase_05	AC	342 ms 25,748 KB
testcase_06	AC	246 ms 23,796 KB
testcase_07	AC	710 ms 15,220 KB
testcase_08	AC	470 ms 16,952 KB
testcase_09	AC	353 ms 26,008 KB
testcase_10	AC	83 ms 7,380 KB
testcase_11	AC	587 ms 20,216 KB
testcase_12	AC	75 ms 6,940 KB
testcase_13	AC	1,357 ms 24,724 KB
testcase_14	AC	342 ms 13,016 KB
testcase_15	AC	426 ms 19,544 KB
testcase_16	AC	93 ms 19,544 KB
testcase_17	AC	361 ms 26,516 KB
testcase_18	AC	1 ms 5,376 KB
testcase_19	AC	1 ms 5,376 KB
testcase_20	AC	1 ms 5,376 KB
testcase_21	AC	1 ms 5,376 KB
testcase_22	AC	1 ms 5,376 KB
testcase_23	AC	1 ms 5,376 KB
testcase_24	AC	1 ms 5,376 KB
testcase_25	AC	1 ms 5,376 KB
testcase_26	AC	1 ms 5,376 KB
testcase_27	AC	2 ms 5,376 KB
testcase_28	AC	1 ms 5,376 KB
testcase_29	AC	1 ms 5,376 KB
testcase_30	AC	1 ms 5,376 KB
testcase_31	AC	1 ms 5,376 KB
testcase_32	AC	1 ms 5,376 KB
testcase_33	AC	1 ms 5,376 KB
testcase_34	AC	1 ms 5,376 KB
testcase_35	AC	1 ms 5,376 KB
testcase_36	AC	1 ms 5,376 KB
testcase_37	AC	2 ms 5,376 KB
testcase_38	AC	1 ms 5,376 KB
testcase_39	AC	1 ms 5,376 KB
testcase_40	AC	1 ms 5,376 KB
testcase_41	AC	1 ms 5,376 KB
testcase_42	AC	2 ms 5,376 KB
testcase_43	AC	1 ms 5,376 KB
testcase_44	AC	1 ms 5,376 KB
testcase_45	AC	1 ms 5,376 KB
testcase_46	AC	2 ms 5,376 KB
testcase_47	AC	1 ms 5,376 KB
testcase_48	AC	1,774 ms 27,144 KB
testcase_49	AC	1,736 ms 27,276 KB
testcase_50	AC	1,723 ms 27,136 KB
testcase_51	AC	1,757 ms 27,272 KB
testcase_52	AC	1,737 ms 27,140 KB
testcase_53	AC	1,812 ms 27,136 KB
testcase_54	AC	1,745 ms 27,144 KB
testcase_55	AC	1,746 ms 27,136 KB
testcase_56	AC	1,765 ms 27,008 KB
testcase_57	AC	1,745 ms 27,120 KB
testcase_58	AC	1,006 ms 24,960 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

// https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8
macro_rules! input {
    ($($r:tt)*) => {
        let stdin = std::io::stdin();
        let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock()));
        let mut next = move || -> String{
            bytes.by_ref().map(|r|r.unwrap() as char)
                .skip_while(|c|c.is_whitespace())
                .take_while(|c|!c.is_whitespace())
                .collect()
        };
        input_inner!{next, $($r)*}
    };
}

macro_rules! input_inner {
    ($next:expr) => {};
    ($next:expr,) => {};
    ($next:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($next, $t);
        input_inner!{$next $($r)*}
    };
}

macro_rules! read_value {
    ($next:expr, ( $($t:tt),* )) => { ($(read_value!($next, $t)),*) };
    ($next:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($next, $t)).collect::<Vec<_>>()
    };
    ($next:expr, usize1) => (read_value!($next, usize) - 1);
    ($next:expr, [ $t:tt ]) => {{
        let len = read_value!($next, usize);
        read_value!($next, [$t; len])
    }};
    ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error"));
}

// Minimum cost flow.
// Verified by: yukicoder No.1301 Strange Graph Shortest Path
//              (https://yukicoder.me/submissions/590401)
//              AtCoder Library Practice Contest - E
//              (https://atcoder.jp/contests/practice2/submissions/22478556)
//              ACL Contest 1 - C
//              (https://atcoder.jp/contests/acl1/submissions/23898415)
type Cap = isize;
type Cost = i64;
#[derive(Debug, Clone, Copy)]
struct Edge {
    to: usize,
    cap: Cap,
    cost: Cost,
    rev: usize, // rev is the position of reverse edge in graph[to]
}

#[derive(Debug, Clone)]
struct MinCostFlow {
    n: usize,
    graph: Vec<Vec<Edge>>,
    h: Vec<Cost>, // potential,
    dist: Vec<Cost>, // minimum distance
    prev: Vec<(usize, usize)>, // previous vertex and edge
}

impl MinCostFlow {
    // Initializes this solver. n is the number of vertices.
    fn new(n: usize) -> Self {
        MinCostFlow {
            n: n,
            graph: vec![vec![]; n],
            h: vec![0; n],
            dist: vec![0; n],
            prev: vec![(0, 0); n],
        }
    }
    fn add_edge(&mut self, from: usize, to: usize, cap: Cap, cost: Cost) {
        let fst = Edge {
            to: to,
            cap: cap,
            cost: cost,
            rev: self.graph[to].len(),
        };
        self.graph[from].push(fst);
        let snd = Edge {
            to: from,
            cap: 0,
            cost: -cost,
            rev: self.graph[from].len() - 1,
        };
        self.graph[to].push(snd);
    }
    // Calcucates the minimum cost flow
    // whose source is s, sink is t, and flow is f.
    fn min_cost_flow(&mut self, s: usize, t: usize, mut f: Cap) -> Cost {
        let n = self.n;
        let inf: Cost = std::i64::MAX / 10; // ?????
        let mut res = 0;
        let h = &mut self.h;
        let dist = &mut self.dist;
        while f > 0 {
            let mut que = std::collections::BinaryHeap::<(Cost, usize)>::new();
            for i in 0..n {
                dist[i] = inf;
            }
            dist[s] = 0;
            que.push((0, s));
            while let Some((d, v)) = que.pop() {
                let d = -d;
                if dist[v] < d {
                    continue;
                }
                for (i, &e) in self.graph[v].iter().enumerate() {
                    if e.cap > 0 && dist[e.to] > dist[v] + e.cost + h[v] - h[e.to] {
                        dist[e.to] = dist[v] + e.cost + h[v] - h[e.to];
                        self.prev[e.to] = (v, i);
                        que.push((-dist[e.to], e.to));
                    }
                }
            }
            if dist[t] == inf {
	        return -1; // Cannot add flow anymore
            }
            for i in 0..n {
                h[i] += dist[i];
            }
            // Add flow fully
            let mut d = f;
            let mut i = t;
            while i != s {
                let (pv, pe) = self.prev[i];
	        d = std::cmp::min(d, self.graph[pv][pe].cap);
                i = pv;
            }
            f -= d;
            res += d as Cost * h[t];
            i = t;
            while i != s {
                let (pv, pe) = self.prev[i];
                self.graph[pv][pe].cap -= d;
                let erev = self.graph[pv][pe].rev;
	        self.graph[i][erev].cap += d;
                i = pv;
            }
        }
        return res;
    }
}

fn main() {
    // In order to avoid potential stack overflow, spawn a new thread.
    let stack_size = 104_857_600; // 100 MB
    let thd = std::thread::Builder::new().stack_size(stack_size);
    thd.spawn(|| solve()).unwrap().join().unwrap();
}

fn solve() {
    input! {
        n: usize, k: isize,
        ab: [(i64, [usize1]); n],
    }
    let mut mcf = MinCostFlow::new(2 * n + 1);
    let big = 1i64 << 40;
    for i in 0..n {
        let (a, ref b) = ab[i];
        mcf.add_edge(n + i, i, k, a);
        mcf.add_edge(i, n + i + 1, k, big - a);
        for &b in b {
            mcf.add_edge(b, i, 1, big * (i - b) as i64);
        }
    }
    let ans = mcf.min_cost_flow(n, 2 * n, k);
    println!("{}", big * k as i64 * n as i64 - ans);
}